 Answer all questions.

 Show all necessary working.  All grade ten (10) classes are to complete Section A.  Grades ten (10) Arts, Business and Science are to complete Section B.  Grade ten (10) Technology – Agriculture alone will answer Section C.  Approximate time to complete this paper 2 is 2 hours.  Graph paper will be provided for question 2 in Section B.  All students must have their own Geometry Sets.

SECTION A – MEASUREMENT & CONSTRUCTION

1. The diagram below, not drawn to scale, shows the cross-section of a prism in the shape of a 22 sector of a circle, centre O, and radius 3.5 cm. The angle at the centre is 2700. Take 𝜋 as . 7

Calculate: (A) the length of the circumference of the circle 2 MARKS

(B) the length of the MAJOR arc ABC 2 MARKS

(C) the perimeter of the sector OABC 2 MARKS

(D) the area of the circle 2 MARKS

(E) the area of the MAJOR sector OABC 2 MARKS

TOTAL = 10 MARKS2. Using a pencil, a ruler and a pair of compasses only, (A) Construct accurately, the triangle ABC shown below;

𝐴𝐶 = 6 𝑐𝑚, ∠𝐴𝐶𝐵 = 600 , ∠𝐶𝐴𝐵 = 600 4 MARKS

(B) Complete the diagram to show the kite, ABCD, in which AD = 5 cm. 3 MARKS (C) Measure and state the lengths of the diagonals BD and AC. 2 MARKS

(B) Express 𝑟 in terms of 𝑔 and 𝑣 for the formula;

(C) Expand and simplify:

(E) Using laws of indices simplify the following;

(i) (4𝑥 2 𝑦 3 )3 1 49 (ii) (25)−2 2 MARKS

TOTAL = 10 MARKS2. The table below shows the ages, to the nearest year, of the persons who visited the clinic during a particular week. Age (yrs) No. of Persons Cumulative Mid-point 𝒇𝒙 Frequency 40-49 4 4 44.5 178 50-59 11 15 54.5 599.5 60-69 20 70-79 12 80-89 3 (A) Copy and complete the table to show the cumulative frequency, mid-point averages and the 𝑓𝑥 column. 3 MARKS (B) Using the table above estimate the mean age for the number of persons who visited the clinic. 3 MARKS (C) Using the cumulative frequency, construct a cumulative frequency curve and estimate the median age for the number of persons who visited the clinic. 4 MARKS TOTAL = 10 MARKS